Homework Help: Math

Posted by Richard on Wednesday, April 7, 2010 at 10:04pm.

Trains A & B are traveling in the same direction on parallel tracks. Train A is going 60mph and Train B at 80mph. Train A passes a station at 6:25 am. If Train b passes the same station at 6:37, what time will B catch up with A?

The answer I received is: 7:03am, is that correct?

Math - Reiny, Thursday, April 8, 2010 at 12:14am
let the time between 6:37 and the time B catches A be t hours
distance covered by A is (t + 12/60)(60)
distance covered by B is 80t
but they went the same distance, so ...

80t = 60(t + 1/5)
80t = 60t + 12
20t = 12
t = 3/5 hour of 36 minutes

so 36 min after 6:37 is 7:13
Math - Richard, Thursday, April 8, 2010 at 11:09am
Thank you for the help.

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